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Finding the Fourth Proportional to 9,969.28, 13,756.98 and 5,988.04

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Solution

The fourth proportional to 9,969.28, 13,756.98 and 5,988.04 is: 8,263.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,969.28 : 13,756.98 = 5,988.04 : x
  2. Step 2: Convert to fraction form
    9,969.28/13,756.98 = 5,988.04/x
  3. Step 3: Cross multiply
    9,969.28x = 13,756.98 × 5,988.04
  4. Step 4: Simplify right side
    9,969.28x = 82,377,346.52
  5. Step 5: Solve for x
    x = 82,377,346.52/9,969.28
  6. Step 6: Final answer
    x = 8,263.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.